Figure REF  plots \(P_e= \mathbb {P}({\rm {max}}( \xi _{L,A}(t)) > 0.3)\)  (the probability that maximum roll in a group exceeds 17 degrees) obtained from Seq-VHGPR, LH-VHGPR, LH-SGPR and the exact solution. We see that the Seq-VHGPR result converges to the exact solution within the first 30 sequential samples, much faster than the convergence of the LH-VHGPR result. The LH-SGPR result converges to an asymptotic value which is appreciably larger than the exact solution. We remark that this value represents the best result that can be achieved by all previous methods on this problem [1]}, [2]} based on SGPR. These results, again, demonstrate the effectiveness of Seq-VHGPR in computing the exceeding probability relative to all other approaches.
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